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4211314323440 = 24577520204149
BaseRepresentation
bin111101010010000101111…
…001001110111111110000
3112220121010201212120100212
4331102011321032333300
51022444232431322230
612542352345203252
7613154203056620
oct75220571167760
915817121776325
104211314323440
1113840101684a4
12580220790528
132471821b6743
14107b85d52880
157482c8ab895
hex3d485e4eff0

4211314323440 has 40 divisors (see below), whose sum is σ = 11190063775200. Its totient is φ = 1443879196416.

The previous prime is 4211314323383. The next prime is 4211314323493. The reversal of 4211314323440 is 443234131124.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4211314323397 and 4211314323406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3760101515 + ... + 3760102634.

It is an arithmetic number, because the mean of its divisors is an integer number (279751594380).

Almost surely, 24211314323440 is an apocalyptic number.

4211314323440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4211314323440 is an abundant number, since it is smaller than the sum of its proper divisors (6978749451760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4211314323440 is a wasteful number, since it uses less digits than its factorization.

4211314323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7520204169 (or 7520204163 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 4211314323440 its reverse (443234131124), we get a palindrome (4654548454564).

The spelling of 4211314323440 in words is "four trillion, two hundred eleven billion, three hundred fourteen million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 7520204149 15040408298 30080816596 37601020745 52641429043 60161633192 75202041490 105282858086 120323266384 150404082980 210565716172 263207145215 300808165960 421131432344 526414290430 601616331920 842262864688 1052828580860 2105657161720 4211314323440